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Granular Computing
Published in: Granular Computing 4/2022

03-01-2022 | Original Paper

Multiattribute decision-making by logarithmic operational laws in interval neutrosophic environments

Authors: Tipu Sultan Haque, Avishek Chakraborty, Hussam Alrabaiah, Shariful Alam

Published in: Granular Computing | Issue 4/2022

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Abstract

Neutrosophic sets are the generalization of fuzzy sets and intuitionistic fuzzy sets to deal with incomplete, uncertain, and imprecise information in real-life problems. In this article, we have defined new logarithmic operational laws for interval neutrosophic numbers. Then, different algebraic properties of the proposed operational laws have been studied in details. Moreover, we have developed various desirable weighted averaging and weighted geometric aggregation operators which are eventually used to solve multiattribute decision-making problems. The multiattribute decision-making technique has been illustrated through a numerical example and the influence of logarithmic operator for interval neutrosophic numbers and the choice of logarithm base (\(\delta\)) is explained from a practical point of view. Finally, to demonstrate the proposed multiattribute decision-making technique, we performed a sensitivity analysis here over the attributes which give a fundamental effect in the research area. Finally, a comparative study is done to compare our method with the existing methods for its applicability and rationality.
previous article Characterization of lattice-valued multiset finite automata
next article Fuzzy time series forecasting based on hesitant fuzzy sets, particle swarm optimization and support vector machine-based hybrid method

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Metadata
Title
Multiattribute decision-making by logarithmic operational laws in interval neutrosophic environments
Authors
Tipu Sultan Haque
Avishek Chakraborty
Hussam Alrabaiah
Shariful Alam
Publication date
03-01-2022
Publisher
Springer International Publishing
Published in
Granular Computing / Issue 4/2022
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-021-00299-7

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